Maths 225 Binomial distribution exam questions accurately solved
Maths 225 Binomial distribution exam questions accurately solved BINOMIAL DISTRIBUTION SOLUTIONS Jamie is practicing free throws before her next basketball game. The probability that she makes each shot is 0.6. If she takes 10 shots, what is the probability that she makes exactly 7 of them? 0.215. Binompdf (10,0.6,7) 2nd vars .. list binompdf enetr details. For the below problem, which values would you fill in the blanks of the function B(x,n,p)? The probability of saving a penalty kick from the opposing team is 0.617 for a soccer goalie. If 7 penalty kicks are shot at the goal, what is the probability that the goalie will save 5 of them? B(0.617;5,7) B(5;7,0.617) B(7;0.617,5) B(7;5,0.617) B(5;7,0.617). The parameters of a binomial distribution are: N = the number of trials X = the number of successes experiment P = the probability of a success The parameters should be in the order of x, n, p in the binomial function B(x;n,p). So, in this case, you should input B(5;7,0.617). 65% of the people in Missouri pass the driver’s test on the first attempt. A group of 7 people took the test. What is the probability that at most 3 in the group pass their driver’s tests in their first attempt? Round your answer to three decimal places. 0.200 The parameters of this binomial experiment are: N = 7 trials P = 0.65 X = at most 3 successes 2nd ..Vars.. BINOMCDF (7, .65, 3) 0.19984 = .rounded = 200 Jackie is practicing free throws after basketball practice. She makes a free throw shot with probability 0.7. She takes 20 shots. We say that making a shot is a success. What are p, q, and n in this context? P=0.7, q=0.3, n=20 Remember that p is the probability of success, which is the probability of making a shot, 0.7. The probability of failure is q=1−p=0.3. n is the number of repetitions, which is 20. According to a Gallup poll, 60% of American adults prefer saving over spending. Let X= the number of American adults out of a random sample of 50 who prefer saving to spending. What is the mean (μ) and standard deviation (σ) of X? Μ=30 and σ≈3.46 Mean is μ=np = μ=(50)(0.6)=30 Find variance = σ=(50)(0.6)(0.4)=12 Stand deviation= √=12 ≈3.46 Identify the parameter n in the following binomial distribution scenario. A basketball player has a 0.429 probability of making a free throw and a 0.571 probability of missing. If the player shoots 20 free throws, we want to know the probability that he makes no more than 12 of them. (Consider made free throws as successes in the binomial distribution.) N=20 The parameters p and n represent the probability of success on any given trial and the total number of trials, respectively. In this case, the total number of trials, or free throws, is n=20.0. Consider how the following scenario could be modeled with a binomial distribution, and answer the question that follows. 54.4% of tickets sold to a movie are sold with a popcorn coupon, and 45.6% are not. You want to calculate the probability of selling exactly 6 tickets with popcorn coupons out of 10 total tickets (or 6 successes in 10 trials). What value should you use for the parameter p? 0.544. The parameters p and n represent the probability of success on any given trial and the total number of trials, respectively. In this case, success is a movie ticket with a popcorn coupon, so p=0.544. Give the numerical value of the parameter n in the follo
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